CN104204823B - For estimating the method and system of the insulation resistance between battery and electrically grounded pole - Google Patents

For estimating the method and system of the insulation resistance between battery and electrically grounded pole Download PDF

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Publication number
CN104204823B
CN104204823B CN201380015598.5A CN201380015598A CN104204823B CN 104204823 B CN104204823 B CN 104204823B CN 201380015598 A CN201380015598 A CN 201380015598A CN 104204823 B CN104204823 B CN 104204823B
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output voltage
input
capacitance
voltage
terminal
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CN104204823A (en
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L·科尔代塞
M·门斯勒
S-A·兰迪
D·沙特鲁
S·卡尔库埃
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Renault SAS
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Renault SAS
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/50Testing of electric apparatus, lines, cables or components for short-circuits, continuity, leakage current or incorrect line connections
    • G01R31/52Testing for short-circuits, leakage current or ground faults
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R27/00Arrangements for measuring resistance, reactance, impedance, or electric characteristics derived therefrom
    • G01R27/02Measuring real or complex resistance, reactance, impedance, or other two-pole characteristics derived therefrom, e.g. time constant
    • G01R27/025Measuring very high resistances, e.g. isolation resistances, i.e. megohm-meters
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/12Testing dielectric strength or breakdown voltage ; Testing or monitoring effectiveness or level of insulation, e.g. of a cable or of an apparatus, for example using partial discharge measurements; Electrostatic testing
    • G01R31/1227Testing dielectric strength or breakdown voltage ; Testing or monitoring effectiveness or level of insulation, e.g. of a cable or of an apparatus, for example using partial discharge measurements; Electrostatic testing of components, parts or materials

Abstract

For estimating the method for the insulation resistance between a terminal of battery (Batt) and electrically grounded pole, this method includes one kind:One measurement circuit (CM) is connected to a terminal of the battery (Batt), the measurement circuit includes a resistance (R) with given value and a capacitance (CE);And apply the input signal known to (1) one, with input voltage (Ue).This method further comprises:Measure the output voltage of (2) between a point (P) between the resistance (R) and the capacitance (CE) with given value and the earth;It determines the complex impedance for the dipole that (3) are made of the capacitance (CE) and the insulation resistance (Risol) or determines the multiple parameters of a differential equation;And determine (4) insulation resistance (Risol) by these parameters or the complex impedance of the differential equation.

Description

For estimating the method and system of the insulation resistance between battery and electrically grounded pole
Technical field
The technical field of the present invention is related to the measurement of electric dipole, and more particularly relates to for example including high voltage electricity Measurement insulation resistance in the vehicle in pond.
Background technology
In the electric vehicle including high-voltage battery or electric and hybrid vehicle, in being connected with high voltage for battery One point (such as:Connector or high voltage between the positive or negative pole terminal of battery or the battery unit of battery is total Line) insulation resistance between the electrically grounded pole of vehicle is an indispensable safety component.In fact, exactly insulation resistance It makes it possible to prevent for automotive occupant or any electric shock of the lived organism for being in contact with vehicle.
It is indispensable any to detect and then correct before second of insulation fault to occur to measure this resistance Insulation fault.This is because twin failure can generate short circuit.More generally, even if twin failure is in the case of no short circuit If personnel, which touch automobile body, may also cause danger.For example, positive terminal be connected with vehicle body and negative terminal ground connection In the case of, the user that foot stands on ground touches vehicle body and will directly contact the two anodes and negative terminal of battery.
A kind of measurement circuit using one or the two terminals being connected to battery known in the state of the art.It is this to think Method is then to perform measurement in multiple and different positions of the measurement circuit, this so that measurement is complicated.
It it is also known to use a measurement circuit for including coupled capacitor in the prior art.This idea is then to use coupling Close capacitance, be assumed to be known value to measure insulation resistance.
For example, patent application JP 2003-250201 disclose a kind of circuit for being used to measure the insulation resistance.This survey Measuring circuit includes a capacitance, and value is assumed to be known to carry out the measurement of insulation resistance.However, common capacitance is overall It is upper with temperature, across voltage or their usage time of their terminal and the value that becomes.It is good to have this hypothesis Good basis and so that measurement is reliable, it is therefore necessary to use a kind of capacitance through its service life with stable value.This is total Mean the higher cost for conventional capacitive on body.
What is thus shown is that existing measurement technology is not reliable, is complexity or is related to higher cost.
The content of the invention
Thus an object of the invention is to find solution for disadvantages mentioned above and provide a kind of for measurement insulation The method of resistance.
According to one embodiment of present invention and implementation, a kind of simple measuring method is provided, this method only will Seek a single measurement point.
Thus the theme of the present invention is a kind of insulated electro for estimating between a battery terminal and electrically grounded pole The method of resistance, this method include:
- the leading-out terminal for measuring circuit by one is connected to a terminal of the battery, and the measurement circuit includes one Resistance and a capacitance with given value;And
- input terminal of the measurement circuit is applied known to one, tool there are one input voltage input signal.
According to a general characteristic, this method further comprises:
- measurement is electric with the output between the point and the earth between the resistance of given value and the capacitance positioned at this Pressure;
- determine a complex impedance of a dipole being made of the capacitance and the insulation resistance or determine this is defeated Go out the multiple parameters for the differential equation that voltage and the input voltage are associated;And
- using these parameters or the complex impedance of the differential equation determine the insulation resistance.
Thus it is possible that measure insulation resistance with a single measurement point, without given that it is known that the measurement circuit The value of capacitance.This is favourable, because this allows to obtain a kind of simple and reliable measurement with a conventional capacitive.
According to a feature, the measurement circuit is further defined using these parameters or the complex impedance of the differential equation The capacitance.
According to another feature, the input signal applied is a kind of square-wave signal.
This square-wave signal, which this have the advantage that, is easy to generate and contain a large amount of harmonic waves known to relative magnitude.
According to one embodiment, determining these parameters of the differential equation includes:
- differential equation is filtered to obtain with a first-order linear wave filter by filtered input voltage and The second equation that filtered output voltage is associated;
- using the input voltage determine the filtered input voltage;
- using the output voltage determine the filtered output voltage;And
- determining the multiple parameters of the second equation, the parameter of the second equation is equal to these of the differential equation Parameter.
The use of filtering allows to overcome from the differential equation to calculate input voltage and output voltage derivative that this is asked Topic.Particularly, these, which output and input voltage, a noise, the fact that so that the derivative for calculating them is difficult.
According to this embodiment feature, described measurement output voltage carries out at different moments several, and And this these parameters for determining the second equation used in several output voltages measured at different moments and The least square method that these values of input voltage carry out.
It is therefore possible to determine these parameters of the differential equation using the second equation according to a kind of simple method. Then the insulation resistance of the measurement circuit and the value of capacitance will be derived from these parameters.
According to another embodiment, this method further comprises carrying out the output voltage of measurement under at least one frequency Frequency analysis, mode are to determine the value of the complex impedance, the input terminal of the described pair of measurement circuit at least this frequency Son apply an input signal, it is described measure the output voltage, the frequency analysis and it is described determine the complex impedance value be It is performed by a network analyser.
The functionality of network analyser can be reduced, because it is in the frequency range of a reduction and with about percentage Ten measurement accuracy be just enough the multiple transfer impedance of standard one.
According to this embodiment feature, this method further comprises being digitized the output voltage measured And this frequency analysis is by means of the Fourier transform of the output voltage for being digitized into or Ge Zeer (Goertzel) Filter what is carried out.
Then can this frequency analysis be carried out using Fourier transform according to a kind of conventional method.Advantageously, the frequency Rate analysis can be filtered using Ge Zeer.Ge Zeer filter than Fourier transform faster because entire frequency spectrum need not be calculated but It is only limitted to calculate a line of the frequency spectrum of Fourier transform.
According to a feature, this frequency analysis is the fundamental frequency in the input voltage and/or two in the input voltage It is performed at harmonic wave.
Then it is possible to for fundamental frequency and determines an insulation resistance for each of the two harmonic waves.One Kind is triple to be determined to allow for select correct measured value for example, by a voting system from these three results.It also permits Perhaps between these three determine values it is dispersed it is excessive in the case of refuse these measured values.
Another theme of the present invention is a kind of insulated electro for estimating between a terminal of battery and electrically grounded pole The system of resistance, the system include one measurement circuit, the measurement circuit include a leading-out terminal, an input terminal, one Resistance and a capacitance with given value, which is connected with a terminal of the battery and the input terminal purport Receiving the input signal known to one, with input voltage.
According to a general characteristic, which further comprises:
- for measure positioned at this with the output between the point and the earth between the resistance of given value and the capacitance One device of voltage;
- be used to determine the complex impedance for a dipole being made of the capacitance and the insulation resistance or determine this is defeated Go out a device of these parameters of the differential equation that voltage and the input voltage are associated;And
- using these parameters or the complex impedance of the differential equation determine the insulation resistance device.
Description of the drawings
By reading the following explanation only provided by way of non-limiting example and referring to attached drawing, other mesh are will become apparent from , feature and advantage, in the accompanying drawings:
- Fig. 1 illustrates the schematic diagram of measurement circuit according to an embodiment of the invention;
- Fig. 2 illustrates a kind of measuring method according to a first embodiment of the present invention;And
- Fig. 3 illustrates a kind of measuring method according to a second embodiment of the present invention.
Specific embodiment
In fig. 1 it is shown that a measurement circuit CM, including a resistance R and a capacitance CE, the measurement connection On a terminal of the high-voltage battery Batt equipped to electric vehicle.Battery Batt is a trailing wheel of such as electric vehicle Or front-wheel drive battery.
By means of measuring circuit CM, it is possible to determine insulation resistance Risol.Resistance Risol is an end of battery Batt Resistance between son or any other point and the electrically grounded pole M of the vehicle.
Measurement circuit CM includes these of an input terminal for being intended to receive input voltage Ue and one and battery Batt The connected leading-out terminal of one of terminal.Measuring the resistance R of circuit CM has known value and the coupled capacitor of the measurement circuit There are one the values that will be determined for CE tools.
In order on the one hand determine capacitance CE and on the other hand determine in this terminal being connected with circuit CM and the earth Between resistance Risol, one will be measured across these terminals of a dipole of the capacitance CE including connecting with resistance Risol A output voltage Us.For this purpose, voltage between a point P and electrical ground pole M will be measured, the point P be in resistance R and Between capacitance CE.
In fig. 2, a kind of measuring method is shown according to first embodiment, which allows to measure the output voltage And the value of Risol and CE are derived from this output voltage.This method includes:
- one first step (step 1):The input signal that one has known amplitude and frequency is applied to the measurement line The input terminal of road CM.For example, the input signal is frequency is 0.5Hz, high level is 5 volts and low value is 0 volt one Square-wave voltage Ue.
- one second step (step 2):Measure output voltage Us;
- one third step (step 3):Determine a differential equation between input voltage Ue and output voltage Us Multiple parameters.This differential equation is for example obtained using transmission function.
For this purpose, for including resistance R, the coupled capacitor CE of series connection and this line applications of insulation resistance Risol A kind of relational expression of voltage divider.In being that of obtaining following transmission function:
Wherein s is Laplace variable.
Then the corresponding differential equation is derived from this transmission function.Relationship below is used:
(equation 1),
Variable has following variation:
First equation (equation 1) will then be used to determine parameter a0、b0And b1
For this purpose, it is referred to as the method for PMF (" Poisson moment function ") method to the application of equation 1.For this purpose, this method Step 3 include:
- one the step of being filtered by the wave filter F1 with following single order form to the differential equation (equation 1) (step 3A):
Wherein parameter lambda is a parameter for being used to adjust the PMF methods.It can be for example compared with the system of subject to confirmation The value of bandwidth be fixed.
In being that of obtaining following formula:
(equation 2),
Wherein F1{ } represents to be filtered by wave filter F1.Second equation thus is obtained, which includes filter Input voltage and filtered output voltage after ripple.
The use of wave filter F1 allows these the direct time-derivatives for avoiding input and output signal to be calculatedWithRepresentative difficulty.This is because since the presence of noise affects signal u under under real conditionss(t) and ue(t) And so that the calculating of these derivatives is difficult.
This method further includes:
The filtered input voltage F of-definite (3B) filtered device F11{ue(t) } and determine that filtered device F1 is filtered Input voltage derivativeAnd
The filtered output voltage F of-definite (3C) filtered device F11{us(t) } and determine that filtered device F1 is filtered Output voltage derivative
In order to calculate F1{ue(t)}、F1{us(t) } andThese and in order to carry out 3B and 3C The two steps have used the output voltage Us measured, the input voltage Ue and below equation with given value:
(equation 3)
Wherein,
Wherein x (t) is signal Us(t) or Ue(t)。
Then, this method includes a step 3D, these parameters of the second equation are determined during the step.
If for this purpose, F1{us(t)}、F1{ue(t) } andThese are from step 3B and 3C It is known, then equation 2,Parameter a0、b0And b1 Such as it is referred to as the method for " least square " using one kind to derive.
In order to carry out the least square method, cause time parameter t from t in equation 21Change to tN.Pass through exemplary implementation The mode of example, such as in the case of the sampling period of 10ms and the square-wave signal Ue (t) of 0.5Hz, can use and cover the letter The mode of a cycle of number Ue (t) provides the variation of the time parameter.It is also possible that time of the time parameter in bigger Change to obtain the more preferable estimation to these parameters of equation 2 on interval.
By this variation, following matrix form is then obtained with:
Y=Γ Θ (equation 4)
Wherein:
The vector Θ for having these parameters to be determined as a result, can be calculated as:
Θ=(ΓTΓ)-1ΓTY (equation 5),
Wherein "T" instruction transposition and "-1" oriental matrix inversion operation.
Finally, this method includes a four steps (step 4):Insulation resistance is determined using these described parameters Risol and definite capacitance CE.For this purpose, the variable change from equation 1 is used:
Thus this measuring method presented allows to estimate absolutely at the end of shown method is implemented only once The value of edge resistance Risol and capacitance CM.
According to another exemplary application, iterative Identification can also be provided, insulated electro is calculated according to this method The value of Risol and capacitance CE is hindered, then these are calculated by implementing shown measuring method in each iteration Value is updated.
Calculation procedure 3A, 3B, 3C, 3D and 4 are for example by being integrated into one or more of digital processing element Chunking is calculated to implement.Administration step 3A, 3B, 3C, 3D and 4 these calculate chunkings can take software module form or Person's some of which can take the form of logic circuit.
In order to determine resistance Risol and capacitance CE, according to a second embodiment, Fig. 1 is shown, bag can be measured Include the multiple transfer impedance Z of this dipole of the capacitance CE to connect with resistance Risol.
Multiple transfer impedance Z is associated by following impedance equation with output voltage Us:
Us=Zi(equation 6)
Wherein,
UsWithiIt is respectively output voltage Us and writes the intensity i in dipole as index.
Complex impedance Z is measured using a network analyser.
The network analyser is connected to send with voltage Ue, its width with the input terminal of measurement circuit CM Input signal known to value and frequency.The network analyser will also measure the output voltage Us of these terminals of the dipole.For This purpose has used an analog-digital converter between the network analyser and the measurement circuit.This analog-digital converter will be right Voltage Us is sampled, which is then transferred to the network analyser in the form of sampling.
In fig. 3 it is shown that according to this measuring method of the second embodiment, which allows to use complex impedance Measured value determine the value of the capacitance CE of insulation resistance Risol and measurement circuit CM.
This method includes:
- by one with voltage Ue input signal apply (step 1) arrive the measurement circuit input terminal.This application is It is implemented by the network analyser, which can generate an input for example on the input terminal of circuit CM Voltage Ue;
- measurement (step 2) across including measure circuit CM capacitance CE and insulation resistance Risol the electric dipole this The output voltage Us of a little terminals.This measurement is carried out by means of an analog-digital converter, and the analog-digital converter is by voltage Us (step 2A) is digitized so that it is transferred to the network analyser in the form of sampling well;
The complex impedance Z of-definite (step 3) dipole.This determines that step includes coming to the number at least one frequency f The output voltage of word carry out frequency analysis and for corresponding to these frequencies f angular frequency Ω (the π f of Ω=2 according to Field technology personnel well-known formula) each of calculate the angle of complex impedance Z and modulus.It is this to determine further Including being directed to each of these angular frequencies Ω, calculating the dipole according to below equation, using the modulus and angle of impedance Z The value of the complex impedance of son:
Z=Re,
Wherein R represents the modulus of complex impedance Z and θ represents the angle (or phase) of complex impedance Z.
This determines that step is carried out by the network analyser.
According to one embodiment, this frequency analysis is that (such as from 1kHz to 5kHz, this is depended in a frequency separation The nominal value of parts R, Risol and CE) on carry out and including the Fast Fourier Transform to the digitized output voltage Or FFT (according to abbreviation well-known to those skilled in the art).
According to another embodiment, this frequency analysis can be carried out by means of Ge Zeer filtering.Ge Zeer is filtered Faster, this is because compared with Fourier transform, it is not required for calculating entire frequency spectrum but be only limitted to being adopted ripple One spectrum line of the Fourier transform of sample is calculated.
According to the two embodiments, input signal can be used as using a kind of square-wave signal, for the square-wave signal The relative magnitude for saying multiple and different frequency components is known.More precisely, in the square-wave signal of the value of taking+1 or -1 In the case of, the amplitude of component of the square-wave signal under fundamental frequency is 4/ π, 3rdThe amplitude of harmonic wave is 4/ (3 π), and 5thHarmonic wave Amplitude be 4/ (5 π).
In the case where Ge Zeer is filtered, this frequency analysis can be only in the base of the input signal with voltage Ue Frequently, 3rdHarmonic wave and 5thIt is carried out on these spectrum lines corresponding to harmonic wave.
In the case of Fourier transform, then can to this with voltage Ue it is signal, comprising these frequencies one Partial frequency spectrum is analyzed.
In the case of Ge Zeer filtering or Fourier transform, for fundamental frequency, 3rdHarmonic wave and 5thIn these lines of harmonic wave Each, all accordingly using the ratio between output voltage and amplitude of input signal and the phase between output voltage and input signal Potential difference derives the phase of the modulus of complex impedance and complex impedance.Then can calculate for each line it is corresponding this The complex impedance of a little angular frequencies.
According to one embodiment, by select the input signal with the corresponding frequency of the fundamental frequency so that output electricity The signal-to-noise ratio of the frequency spectrum of pressure minimizes.For example, this is possible in the following manner:It avoids and the electronic device positioned at vehicle These associated frequencies of power electronic device (such as image converter) in another part or avoid with from these power The associated problem of spectrum confusion of the signal of electronic device.
The frequency of input signal can also become to make choice with the nominal value of parts R, Risol and CE.Or it substitutes Ground, it is small that the frequency of input signal can be chosen to capacitance CE to be used in one way.This is because generally, Capacitance is higher, and cost is higher.
This method further comprises:
- using for the impedance of at least one frequency considered determine (step 4) insulation resistance Risol and the measurement The value of the capacitance CE of circuit CM.For this purpose, use below equation:
Z=Z1+iZ2=Re
Risol=- ((Z12-Z1+Z22)·R)/(Z12-2×Z1+Z22+1)
CE=(Z12-2×Z1+Z22+ 1)/(Ω Z2R) (equation 7),
Wherein Z1 and Z2 accordingly represents the real and imaginary parts of complex impedance Z, and Ω representatives have been directed to and have that defined again The angular frequency of impedance.
Calculation procedure 4 is, for example, to calculate chunking by one be integrated into the digital processing element of the network analyser to apply Capable.The form of multiple software modules can be taken or take the shape of logic circuit by having implemented this calculating chunking of step 4 Formula.
For example, in the case where being directed to several frequence estimations complex impedance, it can be by each in these complex impedances Person derives insulation resistance Risol value.Then these different insulation resistances can be compared to check measurement Correlation.
In addition, in the case where the measurement circuit is permanently mounted on the terminal of battery Batt, if the value of capacitance CE It is deviated from its nominal value, the aging for then allowing to detect capacitance to the measurement of capacitance CE.In the case of for example improper aging, this It allows for obtaining a kind of onboard diagnostics function for vehicle electronics.
According to a kind of exemplary application shown in Fig. 2 or 3 of the two embodiments, particularly it is important that detection Failure.Allow to determine whether the value of the insulation resistance is less than a kind of estimation of a certain value and is just enough to detect insulation fault.This is thus Allow to reduce the limitation (reduce time of measuring interval, reduce the precision of resistance R or the precision of signal Ue) in measurement accuracy and So as to reduce the cost of this estimation solution or cause this estimation solution faster.For example, in 400 voltaic elements In the case of, determine it is sufficient that value that the insulation resistance has is less than 1MegaOhm.

Claims (9)

1. one kind is used to estimate the method for the insulation resistance between a terminal of battery (Batt) and electrically grounded pole, this method bag It includes:
- the leading-out terminal for measuring circuit (CM) by one is connected to a terminal of the battery (Batt), the measurement circuit bag Include a resistance (R) with given value and a capacitance (CE);And
- input terminal of the measurement circuit (CM) is directly applied known to (1) one, there are one input voltages (Ue) for tool Input signal,
It is characterized in that, this method further comprises:
- measurement (2) is in a point (P) between the resistance (R) and the capacitance (CE) with given value between the earth Output voltage;
- determine the dipole that (3) are made of the capacitance (CE) and the insulation resistance (Risol) a complex impedance or Determine the multiple parameters for the differential equation that the output voltage and the input voltage are associated;And
- using these parameters or the complex impedance of the differential equation determine (4) insulation resistance (Risol),
Wherein, the input voltage (Ue) is unrelated to the insulation resistance (Risol).
2. the method as described in claim 1 further comprises coming using these parameters of the differential equation or the complex impedance Determine the capacitance (CE) of the measurement circuit.
3. the method as described in one of claim 1 and 2, wherein, the input signal applied is a kind of square-wave signal.
4. the method as described in one of claim 1 to 2, wherein it is determined that these parameters of (3) differential equation include:
- (3A) is filtered to obtain the filtered input voltage to the differential equation with a first-order linear wave filter The second equation that filtered output voltage is associated with this;
- using the input voltage determine (3B) the filtered input voltage;
- using the output voltage determine (3C) the filtered output voltage;And
- determining the multiple parameters of (3D) described second equation, the parameter of the second equation is equal to these of the differential equation Parameter.
5. method as claimed in claim 4, wherein, described measurement output voltage (2) carries out at different moments several, And this these parameters for determining (3) described second equation have been used in several output electricity measured at different moments A kind of least square method that pressure and these values of input voltage carry out.
6. the method as described in one of claim 1 to 2 further comprises under at least one frequency to the output voltage of measurement Carry out frequency analysis, mode is to determine the value of (3) complex impedance for at least frequency, described pair of measurement circuit it is defeated Enter (1) input signal of terminal application, described measurement (2) output voltage, the frequency analysis and described definite (3) to be somebody's turn to do The value of complex impedance is performed by a network analyser.
7. method as claimed in claim 6, wherein, this method further comprises being digitized the output voltage measured (2A) and the frequency analysis are by means of a kind of Fourier transform to the output voltage being digitized into or a kind of Ge Zeer Filter what is carried out.
8. the method for claim 7, wherein, which is in the fundamental frequency of the input voltage and/or in the input It is performed at two harmonic waves of voltage.
9. a kind of for estimating the system of the insulation resistance between a terminal of battery and electrically grounded pole, which includes one Measure circuit, the measurement circuit include a leading-out terminal, an input terminal, one have given value resistance (R) and One capacitance (CE), which is connected with a terminal of the battery (Batt), and the input terminal is applied directly Known to one, there is the input signal of input voltage (Ue) and be intended to receive the input signal,
It is characterized in that, the system further comprises:
- it is used to measure (2) in a point (P) between the resistance (R) and the capacitance (CE) with given value and the earth Between output voltage a device;
The one complex impedance of-dipole formed for determining (3) by the capacitance (CE) and the insulation resistance (Risol), Or determine a device of the multiple parameters for the differential equation that the output voltage and the input voltage are associated;And
- device of (4) insulation resistance is determined using these parameters or the complex impedance of the differential equation,
Wherein, the input voltage (Ue) is unrelated to the insulation resistance (Risol).
CN201380015598.5A 2012-02-22 2013-02-15 For estimating the method and system of the insulation resistance between battery and electrically grounded pole Active CN104204823B (en)

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FR1251591A FR2987133B1 (en) 2012-02-22 2012-02-22 METHOD FOR ESTIMATING ISOLATION RESISTANCE BETWEEN BATTERY AND ELECTRIC MASS
FR1251591 2012-02-22
PCT/FR2013/050320 WO2013124571A1 (en) 2012-02-22 2013-02-15 Method and system for estimating the insulation resistance between a battery and an electrical earth

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